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Simplifying (4x2 + -3x2) + -1(2x2 + -5x3) = 2x2 + -8x3 Combine like terms: 4x2 + -3x2 = 1x2 (1x2) + -1(2x2 + -5x3) = 2x2 + -8x3 (1x2) + -1(2x2 + -5x3) = 2x2 + -8x3 (1x2) + (2x2 * -1 + -5x3 * -1) = 2x2 + -8x3 (1x2) + (-2x2 + 5x3) = 2x2 + -8x3 Combine like terms: (1x2) + -2x2 = -1x2 -1x2 + 5x3 = 2x2 + -8x3 Solving -1x2 + 5x3 = 2x2 + -8x3 Solving for variable 'x'. Reorder the terms: -1x2 + -2x2 + 5x3 + 8x3 = 2x2 + -8x3 + -2x2 + 8x3 Combine like terms: -1x2 + -2x2 = -3x2 -3x2 + 5x3 + 8x3 = 2x2 + -8x3 + -2x2 + 8x3 Combine like terms: 5x3 + 8x3 = 13x3 -3x2 + 13x3 = 2x2 + -8x3 + -2x2 + 8x3 Reorder the terms: -3x2 + 13x3 = 2x2 + -2x2 + -8x3 + 8x3 Combine like terms: 2x2 + -2x2 = 0 -3x2 + 13x3 = 0 + -8x3 + 8x3 -3x2 + 13x3 = -8x3 + 8x3 Combine like terms: -8x3 + 8x3 = 0 -3x2 + 13x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-3 + 13x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-3 + 13x)' equal to zero and attempt to solve: Simplifying -3 + 13x = 0 Solving -3 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 0 + 3 13x = 0 + 3 Combine like terms: 0 + 3 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308Solution
x = {0, 0.2307692308}
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